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<h1 class="epydoc">Source Code for <a href="octant.extern.delaunay.interpolate-module.html">Module octant.extern.delaunay.interpolate</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">as</tt> <tt class="py-name">sp</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">_delaunay</tt> <tt class="py-keyword">import</tt> <tt class="py-name">compute_planes</tt><tt class="py-op">,</tt> <tt class="py-name">linear_interpolate_grid</tt><tt class="py-op">,</tt> <tt class="py-name">nn_interpolate_grid</tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">_delaunay</tt> <tt class="py-keyword">import</tt> <tt class="py-name">nn_interpolate_unstructured</tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-name">__all__</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-string">'LinearInterpolator'</tt><tt class="py-op">,</tt> <tt class="py-string">'NNInterpolator'</tt><tt class="py-op">]</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"> </tt>
<a name="slice2gridspec"></a><div id="slice2gridspec-def"><a name="L8"></a><tt class="py-lineno">  8</tt> <a class="py-toggle" href="#" id="slice2gridspec-toggle" onclick="return toggle('slice2gridspec');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.extern.delaunay.interpolate-module.html#slice2gridspec">slice2gridspec</a><tt class="py-op">(</tt><tt class="py-param">key</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="slice2gridspec-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="slice2gridspec-expanded"><a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line">    <tt class="py-docstring">"""Convert a 2-tuple of slices to start,stop,steps for x and y.</tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-docstring">    key -- (slice(ystart,ystop,ystep), slice(xtart, xstop, xstep))</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-docstring">    For now, the only accepted step values are imaginary integers (interpreted</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-docstring">    in the same way numpy.mgrid, etc. do).</tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">key</tt><tt class="py-op">)</tt> <tt class="py-op">!=</tt> <tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-keyword">or</tt> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line">        <tt class="py-op">(</tt><tt class="py-keyword">not</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">key</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt id="link-0" class="py-name" targets="Module octant.slice=octant.slice-module.html"><a title="octant.slice" class="py-name" href="#" onclick="return doclink('link-0', 'slice', 'link-0');">slice</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-keyword">or</tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line">        <tt class="py-op">(</tt><tt class="py-keyword">not</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">key</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt id="link-1" class="py-name"><a title="octant.slice" class="py-name" href="#" onclick="return doclink('link-1', 'slice', 'link-0');">slice</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">(</tt><tt class="py-string">"only 2-D slices, please"</tt><tt class="py-op">)</tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line"> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line">    <tt class="py-name">x0</tt> <tt class="py-op">=</tt> <tt class="py-name">key</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">.</tt><tt class="py-name">start</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line">    <tt class="py-name">x1</tt> <tt class="py-op">=</tt> <tt class="py-name">key</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">.</tt><tt class="py-name">stop</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line">    <tt class="py-name">xstep</tt> <tt class="py-op">=</tt> <tt class="py-name">key</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">.</tt><tt id="link-2" class="py-name" targets="Method octant.ocean.step3d_t.Step3d_t.step()=octant.ocean.step3d_t.Step3d_t-class.html#step"><a title="octant.ocean.step3d_t.Step3d_t.step" class="py-name" href="#" onclick="return doclink('link-2', 'step', 'link-2');">step</a></tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-keyword">not</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">xstep</tt><tt class="py-op">,</tt> <tt class="py-name">complex</tt><tt class="py-op">)</tt> <tt class="py-keyword">or</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">xstep</tt><tt class="py-op">.</tt><tt class="py-name">real</tt><tt class="py-op">)</tt> <tt class="py-op">!=</tt> <tt class="py-name">xstep</tt><tt class="py-op">.</tt><tt class="py-name">real</tt><tt class="py-op">:</tt> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">(</tt><tt class="py-string">"only the [start:stop:numsteps*1j] form supported"</tt><tt class="py-op">)</tt> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line">    <tt class="py-name">xstep</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">xstep</tt><tt class="py-op">.</tt><tt class="py-name">imag</tt><tt class="py-op">)</tt> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line">    <tt class="py-name">y0</tt> <tt class="py-op">=</tt> <tt class="py-name">key</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">.</tt><tt class="py-name">start</tt> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line">    <tt class="py-name">y1</tt> <tt class="py-op">=</tt> <tt class="py-name">key</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">.</tt><tt class="py-name">stop</tt> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line">    <tt class="py-name">ystep</tt> <tt class="py-op">=</tt> <tt class="py-name">key</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">.</tt><tt id="link-3" class="py-name"><a title="octant.ocean.step3d_t.Step3d_t.step" class="py-name" href="#" onclick="return doclink('link-3', 'step', 'link-2');">step</a></tt> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-keyword">not</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">ystep</tt><tt class="py-op">,</tt> <tt class="py-name">complex</tt><tt class="py-op">)</tt> <tt class="py-keyword">or</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">ystep</tt><tt class="py-op">.</tt><tt class="py-name">real</tt><tt class="py-op">)</tt> <tt class="py-op">!=</tt> <tt class="py-name">ystep</tt><tt class="py-op">.</tt><tt class="py-name">real</tt><tt class="py-op">:</tt> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">(</tt><tt class="py-string">"only the [start:stop:numsteps*1j] form supported"</tt><tt class="py-op">)</tt> </tt>
<a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line">    <tt class="py-name">ystep</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">ystep</tt><tt class="py-op">.</tt><tt class="py-name">imag</tt><tt class="py-op">)</tt> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line"> </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">x0</tt><tt class="py-op">,</tt> <tt class="py-name">x1</tt><tt class="py-op">,</tt> <tt class="py-name">xstep</tt><tt class="py-op">,</tt> <tt class="py-name">y0</tt><tt class="py-op">,</tt> <tt class="py-name">y1</tt><tt class="py-op">,</tt> <tt class="py-name">ystep</tt> </tt>
</div><a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line"> </tt>
<a name="LinearInterpolator"></a><div id="LinearInterpolator-def"><a name="L36"></a><tt class="py-lineno"> 36</tt> <a class="py-toggle" href="#" id="LinearInterpolator-toggle" onclick="return toggle('LinearInterpolator');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="octant.extern.delaunay.interpolate.LinearInterpolator-class.html">LinearInterpolator</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LinearInterpolator-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="LinearInterpolator-expanded"><a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line">    <tt class="py-docstring">"""Interpolate a function defined on the nodes of a triangulation by</tt> </tt>
<a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line"><tt class="py-docstring">    using the planes defined by the three function values at each corner of</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line"><tt class="py-docstring">    the triangles.</tt> </tt>
<a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line"><tt class="py-docstring">    LinearInterpolator(triangulation, z, default_value=numpy.nan)</tt> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line"><tt class="py-docstring">    triangulation -- Triangulation instance</tt> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line"><tt class="py-docstring">    z -- the function values at each node of the triangulation</tt> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line"><tt class="py-docstring">    default_value -- a float giving the default value should the interpolating</tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line"><tt class="py-docstring">      point happen to fall outside of the convex hull of the triangulation</tt> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line"><tt class="py-docstring">    At the moment, the only regular rectangular grids are supported for</tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line"><tt class="py-docstring">    interpolation.</tt> </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line"><tt class="py-docstring">        vals = interp[ystart:ystop:ysteps*1j, xstart:xstop:xsteps*1j]</tt> </tt>
<a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line"><tt class="py-docstring">    vals would then be a (ysteps, xsteps) array containing the interpolated</tt> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line"><tt class="py-docstring">    values. These arguments are interpreted the same way as numpy.mgrid.</tt> </tt>
<a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line"><tt class="py-docstring">    Attributes:</tt> </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line"><tt class="py-docstring">      planes -- (ntriangles, 3) array of floats specifying the plane for each</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line"><tt class="py-docstring">        triangle.</tt> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line"><tt class="py-docstring">    Linear Interpolation</tt> </tt>
<a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line"><tt class="py-docstring">    --------------------</tt> </tt>
<a name="L62"></a><tt class="py-lineno"> 62</tt>  <tt class="py-line"><tt class="py-docstring">    Given the Delauany triangulation (or indeed *any* complete triangulation) we</tt> </tt>
<a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line"><tt class="py-docstring">    can interpolate values inside the convex hull by locating the enclosing</tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line"><tt class="py-docstring">    triangle of the interpolation point and returning the value at that point of</tt> </tt>
<a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line"><tt class="py-docstring">    the plane defined by the three node values.</tt> </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line"><tt class="py-docstring">        f = planes[tri,0]*x + planes[tri,1]*y + planes[tri,2]</tt> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line"><tt class="py-docstring">    The interpolated function is C0 continuous across the convex hull of the</tt> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line"><tt class="py-docstring">    input points. It is C1 continuous across the convex hull except for the</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line"><tt class="py-docstring">    nodes and the edges of the triangulation.</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="LinearInterpolator.__init__"></a><div id="LinearInterpolator.__init__-def"><a name="L73"></a><tt class="py-lineno"> 73</tt> <a class="py-toggle" href="#" id="LinearInterpolator.__init__-toggle" onclick="return toggle('LinearInterpolator.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.extern.delaunay.interpolate.LinearInterpolator-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">triangulation</tt><tt class="py-op">,</tt> <tt class="py-param">z</tt><tt class="py-op">,</tt> <tt class="py-param">default_value</tt><tt class="py-op">=</tt><tt class="py-name">sp</tt><tt class="py-op">.</tt><tt id="link-4" class="py-name" targets="Variable octant.ocean.depths.nan=octant.ocean.depths-module.html#nan,Variable octant.ocean.nan=octant.ocean-module.html#nan,Variable octant.ocean.state.nan=octant.ocean.state-module.html#nan,Variable octant.ocean.step3d_t.nan=octant.ocean.step3d_t-module.html#nan,Variable octant.ocean.time.nan=octant.ocean.time-module.html#nan,Variable octant.ocean.velocity.nan=octant.ocean.velocity-module.html#nan"><a title="octant.ocean.depths.nan
octant.ocean.nan
octant.ocean.state.nan
octant.ocean.step3d_t.nan
octant.ocean.time.nan
octant.ocean.velocity.nan" class="py-name" href="#" onclick="return doclink('link-4', 'nan', 'link-4');">nan</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LinearInterpolator.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="LinearInterpolator.__init__-expanded"><a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt> <tt class="py-op">=</tt> <tt class="py-name">triangulation</tt> </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">z</tt> <tt class="py-op">=</tt> <tt class="py-name">sp</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">z</tt><tt class="py-op">,</tt> <tt class="py-name">dtype</tt><tt class="py-op">=</tt><tt class="py-name">sp</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt><tt class="py-op">)</tt> </tt>
<a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">default_value</tt> <tt class="py-op">=</tt> <tt class="py-name">default_value</tt> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line"> </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">planes</tt> <tt class="py-op">=</tt> <tt class="py-name">compute_planes</tt><tt class="py-op">(</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt id="link-5" class="py-name" targets="Variable octant.grid.BoundaryInteractor.x=octant.grid.BoundaryInteractor-class.html#x,Variable octant.grid.CGrid.x=octant.grid.CGrid-class.html#x"><a title="octant.grid.BoundaryInteractor.x
octant.grid.CGrid.x" class="py-name" href="#" onclick="return doclink('link-5', 'x', 'link-5');">x</a></tt><tt class="py-op">,</tt> <tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt id="link-6" class="py-name" targets="Variable octant.grid.BoundaryInteractor.y=octant.grid.BoundaryInteractor-class.html#y,Variable octant.grid.CGrid.y=octant.grid.CGrid-class.html#y"><a title="octant.grid.BoundaryInteractor.y
octant.grid.CGrid.y" class="py-name" href="#" onclick="return doclink('link-6', 'y', 'link-6');">y</a></tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">z</tt><tt class="py-op">,</tt> </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line">            <tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt class="py-name">triangle_nodes</tt><tt class="py-op">)</tt> </tt>
</div><a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line"> </tt>
<a name="LinearInterpolator.__getitem__"></a><div id="LinearInterpolator.__getitem__-def"><a name="L81"></a><tt class="py-lineno"> 81</tt> <a class="py-toggle" href="#" id="LinearInterpolator.__getitem__-toggle" onclick="return toggle('LinearInterpolator.__getitem__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.extern.delaunay.interpolate.LinearInterpolator-class.html#__getitem__">__getitem__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">key</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LinearInterpolator.__getitem__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="LinearInterpolator.__getitem__-expanded"><a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line">        <tt class="py-name">x0</tt><tt class="py-op">,</tt> <tt class="py-name">x1</tt><tt class="py-op">,</tt> <tt class="py-name">xstep</tt><tt class="py-op">,</tt> <tt class="py-name">y0</tt><tt class="py-op">,</tt> <tt class="py-name">y1</tt><tt class="py-op">,</tt> <tt class="py-name">ystep</tt> <tt class="py-op">=</tt> <tt class="py-name">slice2gridspec</tt><tt class="py-op">(</tt><tt class="py-name">key</tt><tt class="py-op">)</tt> </tt>
<a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line">        <tt id="link-7" class="py-name" targets="Module octant.grid=octant.grid-module.html"><a title="octant.grid" class="py-name" href="#" onclick="return doclink('link-7', 'grid', 'link-7');">grid</a></tt> <tt class="py-op">=</tt> <tt class="py-name">linear_interpolate_grid</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">,</tt> <tt class="py-name">x1</tt><tt class="py-op">,</tt> <tt class="py-name">xstep</tt><tt class="py-op">,</tt> <tt class="py-name">y0</tt><tt class="py-op">,</tt> <tt class="py-name">y1</tt><tt class="py-op">,</tt> <tt class="py-name">ystep</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">default_value</tt><tt class="py-op">,</tt> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">planes</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt id="link-8" class="py-name"><a title="octant.grid.BoundaryInteractor.x
octant.grid.CGrid.x" class="py-name" href="#" onclick="return doclink('link-8', 'x', 'link-5');">x</a></tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt id="link-9" class="py-name"><a title="octant.grid.BoundaryInteractor.y
octant.grid.CGrid.y" class="py-name" href="#" onclick="return doclink('link-9', 'y', 'link-6');">y</a></tt><tt class="py-op">,</tt> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt class="py-name">triangle_nodes</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt class="py-name">triangle_neighbors</tt><tt class="py-op">)</tt> </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-10" class="py-name"><a title="octant.grid" class="py-name" href="#" onclick="return doclink('link-10', 'grid', 'link-7');">grid</a></tt> </tt>
</div></div><a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line"> </tt>
<a name="NNInterpolator"></a><div id="NNInterpolator-def"><a name="L88"></a><tt class="py-lineno"> 88</tt> <a class="py-toggle" href="#" id="NNInterpolator-toggle" onclick="return toggle('NNInterpolator');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="octant.extern.delaunay.interpolate.NNInterpolator-class.html">NNInterpolator</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="NNInterpolator-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="NNInterpolator-expanded"><a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line">    <tt class="py-docstring">"""Interpolate a function defined on the nodes of a triangulation by</tt> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line"><tt class="py-docstring">    the natural neighbors method.</tt> </tt>
<a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line"><tt class="py-docstring">    NNInterpolator(triangulation, z, default_value=numpy.nan)</tt> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line"><tt class="py-docstring">    triangulation -- Triangulation instance</tt> </tt>
<a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line"><tt class="py-docstring">    z -- the function values at each node of the triangulation</tt> </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line"><tt class="py-docstring">    default_value -- a float giving the default value should the interpolating</tt> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line"><tt class="py-docstring">      point happen to fall outside of the convex hull of the triangulation</tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line"><tt class="py-docstring">    At the moment, the only regular rectangular grids are supported for</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line"><tt class="py-docstring">    interpolation.</tt> </tt>
<a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L102"></a><tt class="py-lineno">102</tt>  <tt class="py-line"><tt class="py-docstring">        vals = interp[ystart:ystop:ysteps*1j, xstart:xstop:xsteps*1j]</tt> </tt>
<a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line"><tt class="py-docstring">    vals would then be a (ysteps, xsteps) array containing the interpolated</tt> </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line"><tt class="py-docstring">    values. These arguments are interpreted the same way as numpy.mgrid.</tt> </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L107"></a><tt class="py-lineno">107</tt>  <tt class="py-line"><tt class="py-docstring">    Natural Neighbors Interpolation</tt> </tt>
<a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line"><tt class="py-docstring">    -------------------------------</tt> </tt>
<a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line"><tt class="py-docstring">    One feature of the Delaunay triangulation is that for each triangle, its</tt> </tt>
<a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line"><tt class="py-docstring">    circumcircle contains no other point (although in degenerate cases, like</tt> </tt>
<a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line"><tt class="py-docstring">    squares, other points may be *on* the circumcircle). One can also construct</tt> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line"><tt class="py-docstring">    what is called the Voronoi diagram from a Delaunay triangulation by</tt> </tt>
<a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line"><tt class="py-docstring">    connecting the circumcenters of the triangles to those of their neighbors to</tt> </tt>
<a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line"><tt class="py-docstring">    form a tesselation of irregular polygons covering the plane and containing</tt> </tt>
<a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line"><tt class="py-docstring">    only one node from the triangulation. Each point in one node's Voronoi</tt> </tt>
<a name="L116"></a><tt class="py-lineno">116</tt>  <tt class="py-line"><tt class="py-docstring">    polygon is closer to that node than any other node.</tt> </tt>
<a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line"><tt class="py-docstring">    To compute the Natural Neighbors interpolant, we consider adding the</tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line"><tt class="py-docstring">    interpolation point to the triangulation. We define the natural neighbors of</tt> </tt>
<a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line"><tt class="py-docstring">    this point as the set of nodes participating in Delaunay triangles whose</tt> </tt>
<a name="L121"></a><tt class="py-lineno">121</tt>  <tt class="py-line"><tt class="py-docstring">    circumcircles contain the point. To restore the Delaunay-ness of the</tt> </tt>
<a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line"><tt class="py-docstring">    triangulation, one would only have to alter those triangles and Voronoi</tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line"><tt class="py-docstring">    polygons. The new Voronooi diagram would have a polygon around the inserted</tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line"><tt class="py-docstring">    point. This polygon would "steal" area from the original Voronoi polygons.</tt> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line"><tt class="py-docstring">    For each node i in the natural neighbors set, we compute the area stolen</tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line"><tt class="py-docstring">    from its original Voronoi polygon, stolen[i]. We define the natural</tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line"><tt class="py-docstring">    neighbors coordinates</tt> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line"><tt class="py-docstring">        phi[i] = stolen[i] / sum(stolen,axis=0)</tt> </tt>
<a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line"><tt class="py-docstring">    We then use these phi[i] to weight the corresponding function values from</tt> </tt>
<a name="L132"></a><tt class="py-lineno">132</tt>  <tt class="py-line"><tt class="py-docstring">    the input data z to compute the interpolated value.</tt> </tt>
<a name="L133"></a><tt class="py-lineno">133</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line"><tt class="py-docstring">    The interpolated surface is C1-continuous except at the nodes themselves</tt> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line"><tt class="py-docstring">    across the convex hull of the input points. One can find the set of points</tt> </tt>
<a name="L136"></a><tt class="py-lineno">136</tt>  <tt class="py-line"><tt class="py-docstring">    that a given node will affect by computing the union of the areas covered by</tt> </tt>
<a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line"><tt class="py-docstring">    the circumcircles of each Delaunay triangle that node participates in.</tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line"> </tt>
<a name="NNInterpolator.__init__"></a><div id="NNInterpolator.__init__-def"><a name="L140"></a><tt class="py-lineno">140</tt> <a class="py-toggle" href="#" id="NNInterpolator.__init__-toggle" onclick="return toggle('NNInterpolator.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.extern.delaunay.interpolate.NNInterpolator-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">triangulation</tt><tt class="py-op">,</tt> <tt class="py-param">z</tt><tt class="py-op">,</tt> <tt class="py-param">default_value</tt><tt class="py-op">=</tt><tt class="py-name">sp</tt><tt class="py-op">.</tt><tt id="link-11" class="py-name"><a title="octant.ocean.depths.nan
octant.ocean.nan
octant.ocean.state.nan
octant.ocean.step3d_t.nan
octant.ocean.time.nan
octant.ocean.velocity.nan" class="py-name" href="#" onclick="return doclink('link-11', 'nan', 'link-4');">nan</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="NNInterpolator.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="NNInterpolator.__init__-expanded"><a name="L141"></a><tt class="py-lineno">141</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt> <tt class="py-op">=</tt> <tt class="py-name">triangulation</tt> </tt>
<a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">z</tt> <tt class="py-op">=</tt> <tt class="py-name">sp</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">z</tt><tt class="py-op">,</tt> <tt class="py-name">dtype</tt><tt class="py-op">=</tt><tt class="py-name">sp</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt><tt class="py-op">)</tt> </tt>
<a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">default_value</tt> <tt class="py-op">=</tt> <tt class="py-name">default_value</tt> </tt>
</div><a name="L144"></a><tt class="py-lineno">144</tt>  <tt class="py-line"> </tt>
<a name="NNInterpolator.__getitem__"></a><div id="NNInterpolator.__getitem__-def"><a name="L145"></a><tt class="py-lineno">145</tt> <a class="py-toggle" href="#" id="NNInterpolator.__getitem__-toggle" onclick="return toggle('NNInterpolator.__getitem__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.extern.delaunay.interpolate.NNInterpolator-class.html#__getitem__">__getitem__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">key</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="NNInterpolator.__getitem__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="NNInterpolator.__getitem__-expanded"><a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line">        <tt class="py-name">x0</tt><tt class="py-op">,</tt> <tt class="py-name">x1</tt><tt class="py-op">,</tt> <tt class="py-name">xstep</tt><tt class="py-op">,</tt> <tt class="py-name">y0</tt><tt class="py-op">,</tt> <tt class="py-name">y1</tt><tt class="py-op">,</tt> <tt class="py-name">ystep</tt> <tt class="py-op">=</tt> <tt class="py-name">slice2gridspec</tt><tt class="py-op">(</tt><tt class="py-name">key</tt><tt class="py-op">)</tt> </tt>
<a name="L147"></a><tt class="py-lineno">147</tt>  <tt class="py-line">        <tt id="link-12" class="py-name"><a title="octant.grid" class="py-name" href="#" onclick="return doclink('link-12', 'grid', 'link-7');">grid</a></tt> <tt class="py-op">=</tt> <tt class="py-name">nn_interpolate_grid</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">,</tt> <tt class="py-name">x1</tt><tt class="py-op">,</tt> <tt class="py-name">xstep</tt><tt class="py-op">,</tt> <tt class="py-name">y0</tt><tt class="py-op">,</tt> <tt class="py-name">y1</tt><tt class="py-op">,</tt> <tt class="py-name">ystep</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">default_value</tt><tt class="py-op">,</tt> </tt>
<a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt id="link-13" class="py-name"><a title="octant.grid.BoundaryInteractor.x
octant.grid.CGrid.x" class="py-name" href="#" onclick="return doclink('link-13', 'x', 'link-5');">x</a></tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt id="link-14" class="py-name"><a title="octant.grid.BoundaryInteractor.y
octant.grid.CGrid.y" class="py-name" href="#" onclick="return doclink('link-14', 'y', 'link-6');">y</a></tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">z</tt><tt class="py-op">,</tt> </tt>
<a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt class="py-name">circumcenters</tt><tt class="py-op">,</tt> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt class="py-name">triangle_nodes</tt><tt class="py-op">,</tt> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt class="py-name">triangle_neighbors</tt><tt class="py-op">)</tt> </tt>
<a name="L152"></a><tt class="py-lineno">152</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-15" class="py-name"><a title="octant.grid" class="py-name" href="#" onclick="return doclink('link-15', 'grid', 'link-7');">grid</a></tt> </tt>
</div><a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line"> </tt>
<a name="NNInterpolator.__call__"></a><div id="NNInterpolator.__call__-def"><a name="L154"></a><tt class="py-lineno">154</tt> <a class="py-toggle" href="#" id="NNInterpolator.__call__-toggle" onclick="return toggle('NNInterpolator.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.extern.delaunay.interpolate.NNInterpolator-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">intx</tt><tt class="py-op">,</tt> <tt class="py-param">inty</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="NNInterpolator.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="NNInterpolator.__call__-expanded"><a name="L155"></a><tt class="py-lineno">155</tt>  <tt class="py-line">        <tt class="py-name">intz</tt> <tt class="py-op">=</tt> <tt class="py-name">nn_interpolate_unstructured</tt><tt class="py-op">(</tt><tt class="py-name">intx</tt><tt class="py-op">,</tt> <tt class="py-name">inty</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">default_value</tt><tt class="py-op">,</tt> </tt>
<a name="L156"></a><tt class="py-lineno">156</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt id="link-16" class="py-name"><a title="octant.grid.BoundaryInteractor.x
octant.grid.CGrid.x" class="py-name" href="#" onclick="return doclink('link-16', 'x', 'link-5');">x</a></tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt id="link-17" class="py-name"><a title="octant.grid.BoundaryInteractor.y
octant.grid.CGrid.y" class="py-name" href="#" onclick="return doclink('link-17', 'y', 'link-6');">y</a></tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">z</tt><tt class="py-op">,</tt> </tt>
<a name="L157"></a><tt class="py-lineno">157</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt class="py-name">circumcenters</tt><tt class="py-op">,</tt> </tt>
<a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt class="py-name">triangle_nodes</tt><tt class="py-op">,</tt> </tt>
<a name="L159"></a><tt class="py-lineno">159</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">triangulation</tt><tt class="py-op">.</tt><tt class="py-name">triangle_neighbors</tt><tt class="py-op">)</tt> </tt>
<a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">intz</tt> </tt>
</div></div><a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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